{ "id": "1812.09889", "version": "v1", "published": "2018-12-24T11:07:09.000Z", "updated": "2018-12-24T11:07:09.000Z", "title": "Acoustic plasmons at the crossover between the collisionless and hydrodynamic regimes in two-dimensional electron liquids", "authors": [ "Iacopo Torre", "Luan Vieira de Castro", "Ben Van Duppen", "David Barcons Ruiz", "François M. Peeters", "Frank H. L. Koppens", "Marco Polini" ], "comment": "14 pages, 4 figures", "categories": [ "cond-mat.mes-hall", "cond-mat.str-el" ], "abstract": "Hydrodynamic flow in two-dimensional electron systems has so far been probed only by dc transport and scanning gate microscopy measurements. In this work we discuss theoretically signatures of the hydrodynamic regime in near-field optical microscopy. We analyze the dispersion of acoustic plasmon modes in two-dimensional electron liquids using a non-local conductivity that takes into account the effects of (momentum-conserving) electron-electron collisions, (momentum-relaxing) electron-phonon and electron-impurity collisions, and many-body interactions beyond the celebrated Random Phase Approximation. We derive the dispersion and, most importantly, the damping of acoustic plasmon modes and their coupling to a near-field probe, identifying key experimental signatures of the crossover between collisionless and hydrodynamic regimes.", "revisions": [ { "version": "v1", "updated": "2018-12-24T11:07:09.000Z" } ], "analyses": { "keywords": [ "two-dimensional electron liquids", "hydrodynamic regime", "acoustic plasmon modes", "scanning gate microscopy measurements", "celebrated random phase approximation" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable" } } }